What is the Greatest Common Factor of 58995 and 59013?

Greatest common factor (GCF) of 58995 and 59013 is 9.

GCF(58995,59013) = 9

We will now calculate the prime factors of 58995 and 59013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58995 and 59013.

How to find the GCF of 58995 and 59013?

We will first find the prime factorization of 58995 and 59013. After we will calculate the factors of 58995 and 59013 and find the biggest common factor number .

Step-1: Prime Factorization of 58995

Prime factors of 58995 are 3, 5, 19, 23. Prime factorization of 58995 in exponential form is:

58995 = 3³ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 59013

Prime factors of 59013 are 3, 79, 83. Prime factorization of 59013 in exponential form is:

59013 = 3² × 79¹ × 83¹

Step-3: Factors of 58995

List of positive integer factors of 58995 that divides 58995 without a remainder.

1, 3, 5, 9, 15, 19, 23, 27, 45, 57, 69, 95, 115, 135, 171, 207, 285, 345, 437, 513, 621, 855, 1035, 1311, 2185, 2565, 3105, 3933, 6555, 11799, 19665

Step-4: Factors of 59013

List of positive integer factors of 59013 that divides 58995 without a remainder.

1, 3, 9, 79, 83, 237, 249, 711, 747, 6557, 19671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58995 and 59013. The biggest common factor number is the GCF number.
So the greatest common factor 58995 and 59013 is 9.

Also check out the Least Common Multiple of 58995 and 59013